Absence of equilibrium chiral magnetic effect

M. A. Zubkov
Phys. Rev. D 93, 105036 – Published 24 May 2016

Abstract

We analyze the (3+1)D equilibrium chiral magnetic effect (CME). We apply derivative expansion to the Wigner transform of the two-point Green function. This technique allows us to express the response of electric current to the external electromagnetic field strength through the momentum space topological invariant. We consider the wide class of the lattice regularizations of quantum field theory (that includes, in particular, the regularization with Wilson fermions) and also certain lattice models of solid state physics (including those of Dirac semimetals). It appears that in these models the mentioned topological invariant vanishes identically at nonzero chiral chemical potential. That means that the bulk equilibrium CME is absent in those systems.

  • Received 16 February 2016

DOI:https://doi.org/10.1103/PhysRevD.93.105036

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsParticles & Fields

Authors & Affiliations

M. A. Zubkov*

  • LE STUDIUM, Loire Valley Institute for Advanced Studies, Tours and Orleans, 45000 Orleans, France; Laboratoire de Mathématiques et de Physique Théorique, Université de Tours, 37200 Tours, France; Institute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25, Moscow, 117259, Russia; and Far Eastern Federal University, School of Biomedicine, 690950 Vladivostok, Russia

  • *On leave of absence from Moscow Institute of Physics and Technology, 9, Institutski per., Dolgoprudny, Moscow Region 141700, Russia. zubkov@itep.ru

See Also

Anatomy of the chiral vortical effect

Ruslan Abramchuk, Z. V. Khaidukov, and M. A. Zubkov
Phys. Rev. D 98, 076013 (2018)

Chiral magnetic effect out of equilibrium

Chitradip Banerjee, Meir Lewkowicz, and Mikhail. A. Zubkov
Phys. Rev. D 106, 074508 (2022)

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Issue

Vol. 93, Iss. 10 — 15 May 2016

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